Interacting dark energy in $f(R)$ gravity

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dc.creatorPoplawski, Nikodem J.
dc.date2006-07-27
dc.date2006-10-30
dc.date.accessioned2026-07-07T07:16:31Z
dc.date.available2026-07-07T07:16:31Z
dc.descriptionThe field equations in $f(R)$ gravity derived from the Palatini variational principle and formulated in the Einstein conformal frame yield a cosmological term which varies with time. Moreover, they break the conservation of the energy--momentum tensor for matter, generating the interaction between matter and dark energy. Unlike phenomenological models of interacting dark energy, $f(R)$ gravity derives such an interaction from a covariant Lagrangian which is a function of a relativistically invariant quantity (the curvature scalar $R$). We derive the expressions for the quantities describing this interaction in terms of an arbitrary function $f(R)$, and examine how the simplest phenomenological models of a variable cosmological constant are related to $f(R)$ gravity. Particularly, we show that $Λc^2=H^2(1-2q)$ for a flat, homogeneous and isotropic, pressureless universe. For the Lagrangian of form $R-1/R$, which is the simplest way of introducing current cosmic acceleration in $f(R)$ gravity, the predicted matter--dark energy interaction rate changes significantly in time, and its current value is relatively weak (on the order of 1% of $H_0$), in agreement with astronomical observations.
dc.description8 pages; published version
dc.identifierhttps://arxiv.org/abs/gr-qc/0607124
dc.identifierhttp://arxiv.org/abs/gr-qc/0607124
dc.identifierPhys.Rev. D74 (2006) 084032
dc.identifierdoi:10.1103/PhysRevD.74.084032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113617
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleInteracting dark energy in $f(R)$ gravity
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